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Finding the Third Proportional to 128,745 and 185,736.38

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Solution

The third proportional to 128,745 and 185,736.38 is: 267,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,745 : 185,736.38 = 185,736.38 : x
  2. Step 2: Convert to fraction form
    128,745/185,736.38 = 185,736.38/x
  3. Step 3: Cross multiply
    128,745x = 185,736.38 × 185,736.38
  4. Step 4: Simplify right side
    128,745x = 34,498,000,998.14
  5. Step 5: Solve for x
    x = 34,498,000,998.14/128,745
  6. Step 6: Final answer
    x = 267,956.04

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.